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Finding the Fourth Proportional to 498.83, 748.71 and 293.81

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Solution

The fourth proportional to 498.83, 748.71 and 293.81 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.83 : 748.71 = 293.81 : x
  2. Step 2: Convert to fraction form
    498.83/748.71 = 293.81/x
  3. Step 3: Cross multiply
    498.83x = 748.71 × 293.81
  4. Step 4: Simplify right side
    498.83x = 219,974.74
  5. Step 5: Solve for x
    x = 219,974.74/498.83
  6. Step 6: Final answer
    x = 440.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.